Does quantum mechanics provide a counterexample to the law of causality?

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Does quantum mechanics provide a counterexample to the law of causality?
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In this video, I consider the claim that quantum field theories show particles can come into existence randomly without cause, and that this is a counterexample to the law of causality.

NOTES

Objections to Law of Causality from Quantum Mechanics

  • Problem 1: nothing is there to cause virtual particles to appear
    1. These particles are coming out of a vacuum
    2. A vacuum is nothing
    3. So, there is no cause
    • O1: quantum vacuum isn't nothing
    • O2: physical laws aren't nothing
    • O3: mathematical equations can't pick up causation
  • Problem 2: the particles appear randomly
    • O1: A cause can cause something indeterminately, so that's not a problem
    • O2: hidden variable theory

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